Question

a single fair die is tossed. find the probability of rolling a number greater than 4. what is the probability of rolling a number greater than 4? (simplify your answer. type a fraction.)

Explanation:

Step1: Determine total outcomes

A fair die has 6 faces, so total possible outcomes when tossed is 6. So total outcomes \( n(S) = 6 \).

Step2: Determine favorable outcomes

We need numbers greater than 4. The numbers on a die are 1, 2, 3, 4, 5, 6. Numbers greater than 4 are 5 and 6. So number of favorable outcomes \( n(A)=2 \).

Step3: Calculate probability

Probability \( P(A)=\frac{n(A)}{n(S)} \). Substituting the values, we get \( P(A)=\frac{2}{6}=\frac{1}{3} \).

Answer:

\(\frac{1}{3}\)